Simplifying Expressions and Power Properties

The video tutorial explains how to simplify expressions using exponents. It begins with an introduction to simplifying expressions and then demonstrates the process through examples. The tutorial covers expanding expressions, applying the power property of exponents, and evaluating expressions using a calculator. Key examples include simplifying 2x^4, 3B^6, -4W^3, and -2C^2D^12. The video emphasizes understanding the power property and correctly applying it to simplify complex expressions.

What is the result of expanding 2x raised to the 4th power?

• 4x^4

• 16x^4

• 8x^4

• 32x^4

How many factors of 2 are there in 2x raised to the 4th power?

• 5

• 4

• 3

• 2

According to the power property of exponents, what is (a^m)^n equal to?

• a^(m/n)

• a^(m*n)

• a^(m-n)

• a^(m+n)

What is the simplified form of 3B^6 raised to the 5th power?

• 81B^30

• 243B^6

• 729B^30

• 243B^30

What is the value of 3 raised to the 5th power?

• 64

• 125

• 243

• 81

What is the result of -4w^3r raised to the 3rd power?

• 64w^3

• -64w^3

• 64w^9

• -64w^9

Why is it important to have parentheses around -4 in the expression -4w^3r?

• To change the exponent

• To indicate the base is positive

• To indicate the base is negative

• To simplify the expression

What is the simplified form of -2c^2d^12 raised to the 7th power?

• -128c^14d^84

• 128c^14d^84

• -128c^2d^12

• 128c^2d^12

What is the value of -2 raised to the 7th power?

• 64

• -128

• -64

• 128

How do you apply the power property of exponents to -2c^2d^12 raised to the 7th power?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents